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Finding the Fourth Proportional to 841.72, 1,260.72 and 516.10

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Solution

The fourth proportional to 841.72, 1,260.72 and 516.10 is: 773.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.72 : 1,260.72 = 516.10 : x
  2. Step 2: Convert to fraction form
    841.72/1,260.72 = 516.10/x
  3. Step 3: Cross multiply
    841.72x = 1,260.72 × 516.10
  4. Step 4: Simplify right side
    841.72x = 650,657.59
  5. Step 5: Solve for x
    x = 650,657.59/841.72
  6. Step 6: Final answer
    x = 773.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.